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Inscribed shapes

Angle CC is inscribed in circle OO.
AB\overline{AB} is a diameter of circle OO.
What is the radius of circle OO?
  • Your answer should be
  • an integer, like 66
  • an exact decimal, like 0.750.75
  • a simplified proper fraction, like 3/53/5
  • a simplified improper fraction, like 7/47/4
  • a mixed number, like 1 3/41\ 3/4
units